Non-integrability and Mach's principle in Induced Matter Theory

Abstract

The geodesic equation in induced matter theory is redefined. It is shown that the extra forces do not change the four-impulse of massive particles. We show that the 4D space-time is non-integrable and find the relation between non-integrability and the Mach's principal.

11 pages, to appear in Gen. Relativ. Gravit

References in corpus (1)

• Stabilization of test particles in Induced Matter Kaluza-Klein theory

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• Variation of mass in primordial nucleosynthesis as a test of Induced Matter Brane Gravity
• Creation of neutral fundamental particles in the Weyl-Dirac version of Wesson's IMT
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• Creation of fundamental particles in Wesson's IMT
• Intrinsic quantum dynamics of particles in brane gravity